Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-13T01:36:16.435Z Has data issue: false hasContentIssue false

On turbulent boundary-layer separation

Published online by Cambridge University Press:  28 March 2006

V. A. Sandborn
Affiliation:
Colorado State University, Fort Collins, Colorado
C. Y. Liu
Affiliation:
National Taiwan University, Taipei, Taiwan

Abstract

An experimental and analytical study of the separation of a turbulent boundary layer is reported. The turbulent boundary-layer separation model proposed by Sandborn & Kline (1961) is demonstrated to predict the experimental results. Two distinct turbulent separation regions, an intermittent and a steady separation, with correspondingly different velocity distributions are confirmed. The true zero wall shear stress turbulent separation point is determined by electronic means. The associated mean velocity profile is shown to belong to the same family of profiles as found for laminar separation. The velocity distribution at the point of reattachment of a turbulent boundary layer behind a step is also shown to belong to the laminar separation family.

Prediction of the location of steady turbulent boundary-layer separation is made using the technique employed by Stratford (1959) for intermittent separation.

Type
Research Article
Copyright
© 1968 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chester, W. 1954 The quasi-cylindrical shock tube. Phil. Mag. (7) 45, 12931301.Google Scholar
Chester, W. 1960 The propagation of shock waves along ducts of varying cross section. Advances in Applied Mechanics, vol. VI, 11952. New York: Academic Press.
Chisnell, R. F. 1955 The normal motion of a shock wave through a non-uniform one-dimensional medium. Proc. Roy. Soc A 232, 35070.Google Scholar
Chisnell, R. F. 1957 The motion of a shock wave in a channel, with applications to cylindrical and spherical shock waves J. Fluid Mech. 2, 28698.Google Scholar
Hayes, W. D. 1968 The propagation upward of the shock wave from a strong explosion in the atmosphere J. Fluid Mech. 32, 31731.Google Scholar
Raizer, YU. P. 1963 Motion produced in an inhomogeneous atmosphere by a plane shock of short duration. Dokl. AN SSSR 153, 5514; Soviet Physics-Doklady, 8, 1056–8 (1964).Google Scholar
Raizer, YU. P. 1964 The propagation of a shock wave in a nonuniform atmosphere in the direction of decreasing density. Zh. Prikl. Mat. Tekh. Fiz. no. 4, 4956.Google Scholar
Sakurai, A. 1960 On the problem of a shock wave arriving at the edge of a gas Comm. Pure Appl. Math. 13, 35370.Google Scholar
Sedov, L. I. 1957 Similarity and dimensional methods in mechanics. 4th edition, English translation, 1959. New York: Academic Press.
Whitham, G. B. 1958 On the propagation of shock waves through regions of non-uniform area or flow J. Fluid Mech. 4, 33760.Google Scholar
ZEL'DOVICH, YA. B. & Raizer, YU. P. 1966 Physics of Shock Wanes and High-Temperature Hydrodynamic Phenomena. 2nd edition, English translation, vol. II, 1967. New York: Academic Press.